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Finding the Fourth Proportional to 3,208.51, 4,812.90 and 1,566.51

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Solution

The fourth proportional to 3,208.51, 4,812.90 and 1,566.51 is: 2,349.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,208.51 : 4,812.90 = 1,566.51 : x
  2. Step 2: Convert to fraction form
    3,208.51/4,812.90 = 1,566.51/x
  3. Step 3: Cross multiply
    3,208.51x = 4,812.90 × 1,566.51
  4. Step 4: Simplify right side
    3,208.51x = 7,539,455.98
  5. Step 5: Solve for x
    x = 7,539,455.98/3,208.51
  6. Step 6: Final answer
    x = 2,349.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.